Chapter 3 . Parallel . and . Perpendicular Lines. Sections Covered: 3.1 Identify Pairs of Lines and Angles. 3.2 Use Parallel Lines and Transversals. 3.3 Prove Lines are Parallel. 3.4 Find and Use Slopes of Lines. 3.5 Write and Graph Equations of Lines. The student will use the relationships between angles formed by two lines cut by a transversal toPlay this game to review Geometry. Angle Q and angle B are ...Play this game to review Geometry. Angle Q and angle B are ... Sep 23, 2020 · When two parallel lines are cut by a diagonal line ( called a transversal) it looks something like this: Each angle above has at least one congruent counterpart. There are several different types of congruent relationships that happen when a transversal cuts two parallel lines and we are going to break each down: Can someone post the back of the paper on Quiz 3-1 Parallel Lines, Transversals, and Special Angle Pairs Get the answers you need, now!across the parallel lines, it is a transversal. Special relationships exist between parallel lines and transversals. MODULE 11 LESSON 11.1 Parallel Lines Cut by a Transversal 8.EE.7b, 8.G.5 LESSON 11.2 Angle Theorems for Triangles 8.EE.7, 8.EE.7b, 8.G.5 LESSON 11.3 Angle-Angle Similarity 8.EE.6, 8.EE.7, 8.G.5 345When parallel lines get crossed by another line (which is called a transversal ), you can see that many angles are the same, as in this example .lines cut unit 3 parallel and perpendicular lines homework 1 parallel lines and transversals gina wilson unit 3 parallel & perpendicular lines gina 2 gina wilson all things algebra 2014 unit 3 test ...How many lines does a Transversal need to intersect? Preview this quiz on Quizizz. ... 3-1 Transversals and Angle Pairs ... Chapter 3 . Parallel . and . Perpendicular Lines. Sections Covered: 3.1 Identify Pairs of Lines and Angles. 3.2 Use Parallel Lines and Transversals. 3.3 Prove Lines are Parallel. 3.4 Find and Use Slopes of Lines. 3.5 Write and Graph Equations of Lines. The student will use the relationships between angles formed by two lines cut by a transversal to When a transversal passes through a pair of parallel lines, special pairs of angles are formed. This video reviews corresponding angles, vertical angles, and...the parallel lines. These angles are supplementary. Same-Side Exterior - Angles on the same side of the transversal and outside the parallel lines. These angles are supplementary. Vertical - Angles that are across from each other and are formed by any intersecting lines (not just parallel lines and transversals). These angles are congruent. If two parallel lines are cut by a transversal, then the corresponding angles have equal measure. THEOREM 3-11. If a transversal is perpendicular to one of two parallel lines, then it is perpendicular to the other one also. THEOREM 3-12. If two parallel lines are cut by a transversal, then the alternate interior angles are equal. The activity can be used for notes, exit tickets, or quiz review. The students are given a set of parallel lines cut by a transversal and need to label each type of angle depending on the theorems. Increase engagement with this activity by adding color!You may also be interested in:Angle Theorem Proof ProjectParallel Lines Proof Cut and Paste.Classify the angles: Parallel Lines and Transversals The same angles are formed when a transversal cuts two parallel lines Special angle relationships form: o Angle pairs are either congruent or supplementary o Congruent angles: Corresponding Alternate interior Alternate exterior VerticalPlay this game to review Pre-algebra. Opposite angles of two intersecting angles and are congruent are called _____. A transversal that intersects two lines forms eight angles; certain pairs of these angles are given special names. They are as follows: Corresponding angles are the angles that appear to be in the same relative position in each group of four angles. In Figure , ∠l and ∠5 are corresponding angles. Other pairs of corresponding angles in ...First, students will need to be able to identify angle pairs, then know the properties and relationships. Children and parents can find these math worksheets online or even download the PDF format of these exciting worksheets. Parallel Lines and Transversals Worksheet - 1. Download PDF. Parallel Lines and Transversals Worksheet - 2.Oct 15, 2022 · Angle pairs formed by parallel lines cut by a transversal. Unit 3 functions and linear equations homework 1 answer key. Angle pairs created by parallel lines cut by a transversal. Quiz 4 2 congruent triangles sss and sas answer key. 1.2 3 practice the unia and the naacp answer key. 1) Name two more pairs of parallel segments. 2) Name two more segments skew to NM 3) Name two transversals for parallel lines NO and PQ 4) Name a segment that is parallel to plane MRQ. II. Identify the angles that go with the following types. Preview and Download !Angle Pairs Created by Parallel Lines Cut by a Transversal Vocabulary Transversal - A line that crosses parallel lines to create pairs of congruent and supplementary angles Congruent - Having the same measurement Supplementary - Angles that add up to 180° Angle Pairs in Parallel Lines Cut by a Transversal . Interior . Interior . Exterior ...What type of angle pair are angles 3 and 5? Preview this quiz on Quizizz. ... Engage live or asynchronously with quiz and poll questions that participants complete at ...Parallel Lines,Transversals, &Special Angle Pairs. When 2 lines intersectcrazy, wonderfulthings happen! 1 When 2 lines, rays or segments intersect, 4 angles are created. 4 2 3 Angles 1 & 4 are a linear pair = 180° Angles 1 & 2 are a linear pair = 180° Angles 2 & 3 are a linear pair = 180° Angles 3 & 4 are a linear pair = 180° Angles 1 & 3 are VERTICAL ANGLES and are congruent.2 minutes 1 pt Angles on the same side of a transversal, in corresponding positions, and are congruent are called _____. Vertical angles Corresponding Angles Supplementary Angles Alternate Interior Angles 2. Multiple-choice 2 minutes 1 pt These angles are congruent. All of these Corresponding Alternate Interior Vertical 3. Multiple-choice 2 minutesCan someone post the back of the paper on Quiz 3-1 Parallel Lines, Transversals, and Special Angle Pairs Get the answers you need, now!PARALLEL POSTULATES AND SPECIAL ANGLES (Chapter 2.1) Special Angles Certain angle pairs are given special names based on their relative position to one another or based on the sum of their respective measures. Angle Pairs Created with a Transversal A transversal is any line that intersects two or more lines in the same plane but at different ... Play this game to review Mathematics. If two parallel lines are cut by a transversal, then each pair of corresponding angles is Preview this quiz on Quizizz. Which lines are parallel? Think of your angle pairs and check for congruent or supplementary angles. Gina wilson all things algebra 2014 parallel lines and transversals answers go to the main content gina wilson all things algebra 2015 unit 11 : 2/18/2011 4:15:30 pm if you have two lines and a third line that is perpendicular to the first two lines, then the lines are parallel ex 1:Name a pair of vertical angles. Angles 1 and 2. ... When a transversal crosses two parallel lines, eight angles (and four different kinds of angles) are formed. ... Angles Formed by a Transversal ...transversal. a line that intersects two or more coplanar lines at different points. consecutive interior angles. If two parallel lines are cut by a transversal, then each pair of consecutive interior angles is supplementary. alternative exterior angles. angle on the opposite sides of the transversal, outside parralel lines, and are congruent. Preview this quiz on Quizizz. What is the Angle Relationship. Parallel Lines and Transversals. ... Parallel Lines and Transversals DRAFT. 3 minutes ago. by agettler ...In all cases, since our Line AR and TO are parallel, their corresponding angles are congruent. Exterior angles. Those same parallel lines and their transversal create exterior angles. An exterior angle among line constructions (not polygons) is one that lies outside the parallel lines. You can see two types of exterior angle relationships:Interior angles. The angles inside a shape or in-between two parallel lines cut by a transversal. Exterior Angles. The angles outside a shape, or on the outside of two parallel lines cut by a transversal. Vertical angles. The pairs of angles formed by two intersecting lines. Transversal line. Parallel Lines and Transversals Date_____ Period____ Identify each pair of angles as corresponding, alternate interior, alternate exterior, or consecutive interior. 1) y x corresponding 2) y x alternate exterior 3) y x corresponding 4) y x consecutive interior 5) y x alternate interior 6) y x alternate exterior 7) y x alternate interior 8) y xacross the parallel lines, it is a transversal. Special relationships exist between parallel lines and transversals. MODULE 11 LESSON 11.1 Parallel Lines Cut by a Transversal 8.EE.7b, 8.G.5 LESSON 11.2 Angle Theorems for Triangles 8.EE.7, 8.EE.7b, 8.G.5 LESSON 11.3 Angle-Angle Similarity 8.EE.6, 8.EE.7, 8.G.5 345 How many lines does a Transversal need to intersect? Preview this quiz on Quizizz. ... 3-1 Transversals and Angle Pairs ...Angles inside a pair of lines on the opposite sides of a transversal and are congruent are called _____.Dec 4, 2019 · A transversal cuts across two parallel lines to form different angles. The transversal line that connects is transversal p which cuts across lines r and s. and are outside the two parallel lines, so, they are exterior angles which are located on opposite sides of transversal p. Therefore: are classified as alternate exterior angles. transversal ... Chapter 3 . Parallel . and . Perpendicular Lines. Sections Covered: 3.1 Identify Pairs of Lines and Angles. 3.2 Use Parallel Lines and Transversals. 3.3 Prove Lines are Parallel. 3.4 Find and Use Slopes of Lines. 3.5 Write and Graph Equations of Lines. The student will use the relationships between angles formed by two lines cut by a transversal toCreated by keelin1011 Terms in this set (31) Parallel lines Perpendicular lines Skew lines Parallel planes Identify each of the following. Identify answer Identify problem 2 Identify answer 2 Identify problem 3 Identify answer 3 Identify problem 4 Identify answer 4 Transversal A line that intersects two coplanar lines at two different points.Preview this quiz on Quizizz. Angle 3 and Angle 6 are examples of which type of angle pair? ... Parallel Lines and Transversals DRAFT. A transversal that intersects two lines forms eight angles; certain pairs of these angles are given special names. They are as follows: Corresponding angles are the angles that appear to be in the same relative position in each group of four angles. In Figure , ∠l and ∠5 are corresponding angles. Other pairs of corresponding angles in ... Parallel Lines and Transversals Date_____ Period____ Identify each pair of angles as corresponding, alternate interior, alternate exterior, or consecutive interior. 1) y x corresponding 2) y x alternate exterior 3) y x corresponding 4) y x consecutive interior 5) y x alternate interior 6) y x alternate exterior 7) y x alternate interior 8) y x True or False. Given two parallel lines cut by a transversal, their corresponding angles are supplementary. 2. Multiple-choice. True or False. Given two parallel lines are cut by a transversal, their same side exterior angles are congruent. 3. Multiple-choice. Find the measure of angle 1.PARALLEL POSTULATES AND SPECIAL ANGLES (Chapter 2.1) Special Angles Certain angle pairs are given special names based on their relative position to one another or based on the sum of their respective measures. Angle Pairs Created with a Transversal A transversal is any line that intersects two or more lines in the same plane but at different ...across the parallel lines, it is a transversal. Special relationships exist between parallel lines and transversals. MODULE 11 LESSON 11.1 Parallel Lines Cut by a Transversal 8.EE.7b, 8.G.5 LESSON 11.2 Angle Theorems for Triangles 8.EE.7, 8.EE.7b, 8.G.5 LESSON 11.3 Angle-Angle Similarity 8.EE.6, 8.EE.7, 8.G.5 345 Sep 30, 2021 · A transversal line is a line that intercepts one or more lines. In the image we show r, s, and t, which are pairwise transversal lines, based on the drawing. Even though the intersection of lines ... A transversal line is a line that intercepts one or more lines. In the image we show r, s, and t, which are pairwise transversal lines, based on the drawing. Even though the intersection of lines ...If two lines which are parallel are intersected by a transversal then the pair of corresponding angles are equal. From Fig. 3: ∠1=∠6, ∠4=∠8, ∠2= ∠5 and ∠3= ∠7. The converse of this axiom is also true according to which if a pair of corresponding angles are equal then the given lines are parallel to each other.When parallel lines get crossed by another line (which is called a transversal ), you can see that many angles are the same, as in this example .lines cut unit 3 parallel and perpendicular lines homework 1 parallel lines and transversals gina wilson unit 3 parallel & perpendicular lines gina 2 gina wilson all things algebra 2014 unit 3 test ...64. $2.00. PDF. Parallel Lines - Angles Formed by Parallel Lines and Transversals Quiz This is a 22 question quiz that assesses student understanding of the angles formed by the intersection of parallel lines with a transversal.. It includes questions that require students to apply the properties through recognizing the properties and setting ... Engage live or asynchronously with quiz and poll questions that participants complete at their own pace. Lesson Create an instructor-led experience where slides and multimedia are combined with quiz and poll questions.lines are parallel. (Show 1 pair of alternate interior angles are congruent.) 3. If two lines are cut by a transversal and the same side interior angles are supplementary, then the lines are parallel. (Show 1 pair of same side interior angles totals 180) 4. If 2 lines are parallel to the same line, then they are parallel to each other. (Show ... Dayastar Teacher Terms in this set (37) Parallel lines Coplanar linens that do not intersect Skew lines Lines that do not intersect and are not coplanar Parallel planes Planes that do not intersect Transversal A line that intersects two or more coplanar lines at two different points Interior angles Lie in then same region between lines Preview this quiz on Quizizz. Angle 3 and Angle 6 are examples of which type of angle pair? ... Parallel Lines and Transversals DRAFT. Play this game to review Pre-algebra. Angles on opposite sides of a vertex and are congruent are called _____.When two parallel lines are cut by a diagonal line ( called a transversal) it looks something like this: Each angle above has at least one congruent counterpart. There are several different types of congruent relationships that happen when a transversal cuts two parallel lines and we are going to break each down:May 1, 2019 · When transversals cross parallel lines, they form angles with special angle relationships. The angle pair relationships form two types of special angles. Congruent angles have the same measure. Supplementary angles have measures that add up to ???180{}^\circ???. Types of special angle pairs. Vertical angles share a vertex, but lie on opposite ... Preview this quiz on Quizizz. Angle 3 and Angle 6 are examples of which type of angle pair? ... Parallel Lines and Transversals DRAFT.View parallel lines and more.png from MATH 10 at Weston High School. Quiz 3-1: Parallel Lines, Transversals, and Special Angle Pairs er x Using the diagram to the right for questions 5-9, classifyAngle pairs formed by parallel lines cut by a transversal. Unit 3 functions and linear equations homework 1 answer key. Angle pairs created by parallel lines cut by a transversal. Quiz 4 2 congruent triangles sss and sas answer key. 1.2 3 practice the unia and the naacp answer key.Corresponding angles. 11. Multiple-choice. 30 seconds. 1 pt. True or False. Given two parallel lines are cut by a transversal, their same side interior angles are congruent. false. true. Sep 19, 2020 · Unlock the full answer. When transversals cross parallel lines, they form angles with special angle relationships. The angle pair relationships form two types of special angles. Congruent angles have the same measure. Supplementary angles have measures that add up to 1 8 0 ∘. Interior angles. The angles inside a shape or in-between two parallel lines cut by a transversal. Exterior Angles. The angles outside a shape, or on the outside of two parallel lines cut by a transversal. Vertical angles. The pairs of angles formed by two intersecting lines. Transversal line. Test Match Q-Chat Created by asherlylin Terms in this set (11) Select all that apply. Which of the following statements are true of a transversal? It is a line. It is parallel to other coplanar lines. It intersects two or more coplanar lines. It bisects line segments. It can never be perpendicular to other lines. It is a line. Engage live or asynchronously with quiz and poll questions that participants complete at their own pace. Lesson NEW Create an instructor-led experience where slides and multimedia are combined with quiz and poll questions. 5 and 10 are alternate interior angles. _____ 7 and 11 are consecutive interior angles. _____ 10 and 14 are consecutive interior angles. _____ 1 and 3 are corresponding angles. _____ 4 and 15 are alternate exterior angles. _____ T a and e b and f d and h c and g Key Special Angle Pairs with Parallel Lines d and f2 minutes 1 pt Angles on the same side of a transversal, in corresponding positions, and are congruent are called _____. Vertical angles Corresponding Angles Supplementary Angles Alternate Interior Angles 2. Multiple-choice 2 minutes 1 pt These angles are congruent. All of these Corresponding Alternate Interior Vertical 3. Multiple-choice 2 minutesMrsSullivank Terms in this set (14) Supplementary angles Angles that sum to 180 degrees Complementary angles Angles that sum to 90 degrees Parallel lines Lines that do not intersect or touch each other Interior angles The angles inside a shape or in-between two parallel lines cut by a transversal Exterior AnglesA transversal cuts across two parallel lines to form different angles. The transversal line that connects is transversal p which cuts across lines r and s. and are outside the two parallel lines, so, they are exterior angles which are located on opposite sides of transversal p. Therefore: are classified as alternate exterior angles. transversal ...The measure of an exterior angle is equal to the sum of the two remote interior angles. slope. Rise (vertical change) over run (horizontal change. slope-intercept form. y=mx+b, where m is the slope and b is the y-intercept of the line. point slope form. y-y1=m (x-x1) Slopes of Parallel Lines. have to have same slope. Detailed Solution for Test: Parallel Lines And Transversals - Question 4. First Mr parallel EF and RO is transversal line angle MRO=angle ROF= (alt.int .angle)toh angle MRO=55 degree and angle ROF =angle 1 toh 55=angle 1 is angle 1 =55 then second EF parallel PQ and OS is transversal line toh angle 2 = angle OSP is = (apt.int angle)toh angle 2 ...Play this game to review Mathematics. If two parallel lines are cut by a transversal, then each pair of corresponding angles isPreview this quiz on Quizizz. Angle 3 and Angle 6 are examples of which type of angle pair? ... Parallel Lines and Transversals DRAFT.Parallel Lines and Transversals quiz for 8th grade students. Find other quizzes for Mathematics and more on Quizizz for free! ... Angle 3 and Angle 6 are examples of ... Created by keelin1011 Terms in this set (31) Parallel lines Perpendicular lines Skew lines Parallel planes Identify each of the following. Identify answer Identify problem 2 Identify answer 2 Identify problem 3 Identify answer 3 Identify problem 4 Identify answer 4 Transversal A line that intersects two coplanar lines at two different points.Play this game to review Geometry. Angle Q and angle B are ...5 and 10 are alternate interior angles. _____ 7 and 11 are consecutive interior angles. _____ 10 and 14 are consecutive interior angles. _____ 1 and 3 are corresponding angles. _____ 4 and 15 are alternate exterior angles. _____ T a and e b and f d and h c and g Key Special Angle Pairs with Parallel Lines d and fEngage live or asynchronously with quiz and poll questions that participants complete at their own pace. Lesson NEW Create an instructor-led experience where slides and multimedia are combined with quiz and poll questions. Preview this quiz on Quizizz. Angle 3 and Angle 6 are examples of which type of angle pair? ... Parallel Lines and Transversals DRAFT.Preview this quiz on Quizizz. Angle 3 and Angle 6 are examples of which type of angle pair? ... Parallel Lines and Transversals DRAFT.Find the measure of angle 1. ... Honors Quiz: Parallel lines with transversals. 78% average accuracy. 117 plays. 10th grade . Mathematics. 3 years ago by . Dana ... Engage live or asynchronously with quiz and poll questions that participants complete at their own pace. Lesson NEW Create an instructor-led experience where slides and multimedia are combined with quiz and poll questions. Preview this quiz on Quizizz. Angle 3 and Angle 6 are examples of which type of angle pair? ... Parallel Lines and Transversals DRAFT.Parallel Lines and Transversals quiz for 8th grade students. Find other quizzes for Mathematics and more on Quizizz for free! ... Angle 3 and Angle 6 are examples of ... Alternate exterior angles: Alternate exterior angles are the pair of angles that are formed on the outer side of two lines but on the opposite side of the transversal. ∠1 and ∠7. ∠2 and ∠8. If two parallel lines are cut by a transversal, then the resulting alternate exterior angles are congruent. ∠1 = ∠7.Q. Angles on opposite sides of a vertex and are congruent are called _____. answer choices . Vertical angles Engage live or asynchronously with quiz and poll questions that participants complete at their own pace. Lesson NEW Create an instructor-led experience where slides and multimedia are combined with quiz and poll questions. Preview this quiz on Quizizz. Angle 3 and Angle 6 are examples of which type of angle pair? ... Parallel Lines and Transversals DRAFT.
View parallel lines and more.png from MATH 10 at Weston High School. Quiz 3-1: Parallel Lines, Transversals, and Special Angle Pairs er x Using the diagram to the right for questions 5-9, classify. Semi annual sale victoria
1) Name two more pairs of parallel segments. 2) Name two more segments skew to NM 3) Name two transversals for parallel lines NO and PQ 4) Name a segment that is parallel to plane MRQ. II. Identify the angles that go with the following types. Preview and Download !Complete the statements below by expressing your understanding on parallel lines cut by transversal. 1. If m<4 + m<5 = 180°, then the two angles are _____. 2. If a pair of parallel lines are cut by transversal then the vertical angles are _____. 3. When two parallel lines are cut by transversal then the alternateThe converse of same-side interior angles theorem says that the two same-side interior angles must be supplementary (add up to 180°) for the lines to be parallel. 115° and 75° add up to 190° so lines l and m cannot be parallel. 5. Identify: What are the transversals of A B ↔ and B D ↔. The transversals of A B ↔ are A C ↔ and B D ↔.2 When two lines intersect, they form four angles with one point in 1 3 common. 4 Angles that are opposite one another are VERTICAL ANGLES. Some people say instead that VERTICAL ANGLES are angles that are across from one another. Angles 1 and 3 are VERTICAL angles. Angles 2 and 4 are VERTICAL angles.If two lines which are parallel are intersected by a transversal then the pair of corresponding angles are equal. From Fig. 3: ∠1=∠6, ∠4=∠8, ∠2= ∠5 and ∠3= ∠7. The converse of this axiom is also true according to which if a pair of corresponding angles are equal then the given lines are parallel to each other.8th grade 7 units · 121 skills. Unit 1 Numbers and operations. Unit 2 Solving equations with one unknown. Unit 3 Linear equations and functions. Unit 4 Systems of equations. Unit 5 Geometry. Unit 6 Geometric transformations. Unit 7 Data and modeling. Course challenge. Alternate interior angles cannot form a "half circle" because they are never adjacent. The same holds for alternate exterior angles -- they can never be adjacent either. There is not a formal name for the pair of interior adjacent supplementary angles formed by the transversal and one of the parallel lines. ( 1 vote) Sep 19, 2020 · Unlock the full answer. When transversals cross parallel lines, they form angles with special angle relationships. The angle pair relationships form two types of special angles. Congruent angles have the same measure. Supplementary angles have measures that add up to 1 8 0 ∘. Unlock the full answer. When transversals cross parallel lines, they form angles with special angle relationships. The angle pair relationships form two types of special angles. Congruent angles have the same measure. Supplementary angles have measures that add up to 1 8 0 ∘.2 When two lines intersect, they form four angles with one point in 1 3 common. 4 Angles that are opposite one another are VERTICAL ANGLES. Some people say instead that VERTICAL ANGLES are angles that are across from one another. Angles 1 and 3 are VERTICAL angles. Angles 2 and 4 are VERTICAL angles.transversal. a line that intersects two or more coplanar lines at different points. consecutive interior angles. If two parallel lines are cut by a transversal, then each pair of consecutive interior angles is supplementary. alternative exterior angles. angle on the opposite sides of the transversal, outside parralel lines, and are congruent. Play this game to review Pre-algebra. Angles on opposite sides of a vertex and are congruent are called _____.If two coplanar lines are cut by a transversal so that a pair of alternate exterior angles are congruent, then the two lines are parallel. If two parallel lines are cut by a transversal, then the alternate exterior angles are congruent. Angles between 2 lines and on the same side of a transversal.A transversal that intersects two lines forms eight angles; certain pairs of these angles are given special names. They are as follows: Corresponding angles are the angles that appear to be in the same relative position in each group of four angles. In Figure , ∠l and ∠5 are corresponding angles. Other pairs of corresponding angles in ...5 and 10 are alternate interior angles. _____ 7 and 11 are consecutive interior angles. _____ 10 and 14 are consecutive interior angles. _____ 1 and 3 are corresponding angles. _____ 4 and 15 are alternate exterior angles. _____ T a and e b and f d and h c and g Key Special Angle Pairs with Parallel Lines d and fClassify the angles: Parallel Lines and Transversals The same angles are formed when a transversal cuts two parallel lines Special angle relationships form: o Angle pairs are either congruent or supplementary o Congruent angles: Corresponding Alternate interior Alternate exterior VerticalWhat type of angle pair are angles 3 and 5? Preview this quiz on Quizizz. ... Engage live or asynchronously with quiz and poll questions that participants complete at ...The measure of an exterior angle is equal to the sum of the two remote interior angles. slope. Rise (vertical change) over run (horizontal change. slope-intercept form. y=mx+b, where m is the slope and b is the y-intercept of the line. point slope form. y-y1=m (x-x1) Slopes of Parallel Lines. have to have same slope. .